document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1018556>Question 1018556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three solutions contain a certain acid. The first contains 10% acid, the second 30%, and the third 50%. A chemist wishes to use all three solutions to obtain a 100-liter mixture containing 20% acid. If the chemist wants to use twice as much of the 50% solution as of the 30% solution, how many liters of each solution should be used?<BR>\n" );
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document.write( " L of the 10% solution<BR>\n" );
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document.write( " L of the 30% solution<BR>\n" );
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document.write( " L of the 50% solution<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634634 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x=10%, y=30%, z=50%<BR>\n" );
document.write( "x+y+z=100<BR>\n" );
document.write( ".10x+.30y+.50z=20, which is 100*0.20 or the amount of \"pure acid\".<BR>\n" );
document.write( "But we know that z=2y<BR>\n" );
document.write( "Therefore x+3y=100<BR>\n" );
document.write( "and .10x +.30y+.50(2y)=20<BR>\n" );
document.write( "multiply second by 10<BR>\n" );
document.write( "x+3y+10y=200<BR>\n" );
document.write( "x=100-3y<BR>\n" );
document.write( "substitute back<BR>\n" );
document.write( "100-3y+3y+10y=200<BR>\n" );
document.write( "10y=100<BR>\n" );
document.write( "y=10 liters<BR>\n" );
document.write( "z=20 liters<BR>\n" );
document.write( "x=70 liters<BR>\n" );
document.write( "10%*70 liters is 7 liters of pure acid<BR>\n" );
document.write( "30% of 10 liters is 3 liters<BR>\n" );
document.write( "50% of 20 liters is 10 liters<BR>\n" );
document.write( "They add to 20 liters<BR>\n" );
document.write( "10%:70 liters<BR>\n" );
document.write( "30%: 10 liters<BR>\n" );
document.write( "50%: 20 liters </SPAN>\n" );
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